{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## scikit-learn中的PCA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import datasets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "digits = datasets.load_digits()\n",
    "X = digits.data\n",
    "y = digits.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=666)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1347, 64)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_train.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 38.2 ms, sys: 16 ms, total: 54.2 ms\n",
      "Wall time: 67.4 ms\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "KNeighborsClassifier()"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%%time\n",
    "\n",
    "from sklearn.neighbors import KNeighborsClassifier\n",
    "\n",
    "knn_clf = KNeighborsClassifier()\n",
    "knn_clf.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9866666666666667"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knn_clf.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "\n",
    "pca = PCA(n_components=2)\n",
    "pca.fit(X_train)\n",
    "X_train_reduction = pca.transform(X_train)\n",
    "X_test_reduction = pca.transform(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 1.2 ms, sys: 490 µs, total: 1.69 ms\n",
      "Wall time: 1.2 ms\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "KNeighborsClassifier()"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%%time \n",
    "knn_clf = KNeighborsClassifier()\n",
    "knn_clf.fit(X_train_reduction, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.6066666666666667"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knn_clf.score(X_test_reduction, y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 主成分所解释的方差"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.14566817, 0.13735469])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.explained_variance_ratio_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([175.90066519, 165.86177754])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.explained_variance_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.45668166e-01, 1.37354688e-01, 1.17777287e-01, 8.49968861e-02,\n",
       "       5.86018996e-02, 5.11542945e-02, 4.26605279e-02, 3.60119663e-02,\n",
       "       3.41105814e-02, 3.05407804e-02, 2.42337671e-02, 2.28700570e-02,\n",
       "       1.80304649e-02, 1.79346003e-02, 1.45798298e-02, 1.42044841e-02,\n",
       "       1.29961033e-02, 1.26617002e-02, 1.01728635e-02, 9.09314698e-03,\n",
       "       8.85220461e-03, 7.73828332e-03, 7.60516219e-03, 7.11864860e-03,\n",
       "       6.85977267e-03, 5.76411920e-03, 5.71688020e-03, 5.08255707e-03,\n",
       "       4.89020776e-03, 4.34888085e-03, 3.72917505e-03, 3.57755036e-03,\n",
       "       3.26989470e-03, 3.14917937e-03, 3.09269839e-03, 2.87619649e-03,\n",
       "       2.50362666e-03, 2.25417403e-03, 2.20030857e-03, 1.98028746e-03,\n",
       "       1.88195578e-03, 1.52769283e-03, 1.42823692e-03, 1.38003340e-03,\n",
       "       1.17572392e-03, 1.07377463e-03, 9.55152460e-04, 9.00017642e-04,\n",
       "       5.79162563e-04, 3.82793717e-04, 2.38328586e-04, 8.40132221e-05,\n",
       "       5.60545588e-05, 5.48538930e-05, 1.08077650e-05, 4.01354717e-06,\n",
       "       1.23186515e-06, 1.05783059e-06, 6.06659094e-07, 5.86686040e-07,\n",
       "       1.71368535e-33, 7.44075955e-34, 7.44075955e-34, 7.15189459e-34])"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "\n",
    "pca = PCA(n_components=X_train.shape[1])\n",
    "pca.fit(X_train)\n",
    "pca.explained_variance_ratio_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot([i for i in range(X_train.shape[1])], \n",
    "         [np.sum(pca.explained_variance_ratio_[:i]) for i in range(X_train.shape[1])])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PCA(n_components=0.95)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca = PCA(0.95)\n",
    "pca.fit(X_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "28"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.n_components_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_train_reduction = pca.transform(X_train)\n",
    "X_test_reduction = pca.transform(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 2.23 ms, sys: 669 µs, total: 2.9 ms\n",
      "Wall time: 2.32 ms\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "KNeighborsClassifier()"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%%time \n",
    "knn_clf = KNeighborsClassifier()\n",
    "knn_clf.fit(X_train_reduction, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.98"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "knn_clf.score(X_test_reduction, y_test)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 使用PCA对数据进行降维可视化"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "pca = PCA(n_components=2)\n",
    "pca.fit(X)\n",
    "X_reduction = pca.transform(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(10):\n",
    "    plt.scatter(X_reduction[y==i,0], X_reduction[y==i,1], alpha=0.8)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
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